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AnnZ [28]
3 years ago
5

Find the value for β that makes cosβ = sin15 true.

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

cos\beta =sin(15)

sin(15) has a decimal answer that you will find on your calculator.  Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal.  When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle.  You should get 75, which is Choice B.

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Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an i
pashok25 [27]

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105

0.105 = 10.5% probability that an accident results in a death.

6 0
3 years ago
In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction times
MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples  

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as \frac{1}{10} \times the digit 4 in 3.8463

That is

\frac{1}{10}  \times 0.04 = 0.004

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0
3 years ago
The length of a rectangle is 9 inches more than the width. The perimeter is 38 inches. Find the length and the width (in inches)
andrew11 [14]

Answer:12

Step-by-step explanation:

7 0
3 years ago
56y - 8 in Distributive Property
FromTheMoon [43]

Answer:

8 ( 7 − 1 )

Step-by-step explanation:

Find the common factor.

4 0
3 years ago
Given the following formula, with A = 27 and t = 3, solve for r. <br> A=p(1+rt)
Nookie1986 [14]

Answer:

<h2>A.r=\frac{27-p}{3p}</h2>

Step-by-step explanation:

The given formula is

A=p(1+rt)

Where A=27 and t=3

To solve for r, first we need to move p

\frac{A}{p}=1+rt

Then, we move the term 1

\frac{A}{p}-1=rt

Finally, we move the factor t

\frac{\frac{A}{p}-1 }{t} =r

Replacing given values, we have

\frac{\frac{27}{p}-1 }{3} =r\\r=\frac{\frac{27-p}{p} }{3} \\r=\frac{27-p}{3p}

Thereofre, the right answer is A.

7 0
3 years ago
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